{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "start_time": "2023-07-05T10:48:36.493088Z",
     "end_time": "2023-07-05T10:48:42.067158Z"
    }
   },
   "outputs": [],
   "source": [
    "import gym\n",
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "import rl_utils"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [],
   "source": [
    "class PolicyNet(torch.nn.Module):\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim):\n",
    "        super().__init__()\n",
    "        self.fc1 = torch.nn.Linear(state_dim, hidden_dim)\n",
    "        self.fc2 = torch.nn.Linear(hidden_dim, action_dim)\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.fc1(x))\n",
    "        return F.softmax(self.fc2(x), dim=1)\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T10:48:43.559187Z",
     "end_time": "2023-07-05T10:48:43.572498Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [],
   "source": [
    "class REINFORCE:\n",
    "    def __init__(self, state_dim, hidden_dim, action_dim, learning_rate, gamma, device):\n",
    "        self.policy_net = PolicyNet(state_dim, hidden_dim, action_dim).to(device)\n",
    "        # 使用adam优化器\n",
    "        self.optimizer = torch.optim.Adam(self.policy_net.parameters(), lr=learning_rate)\n",
    "        self.gamma = gamma\n",
    "        self.device = device\n",
    "\n",
    "    def take_action(self, state):\n",
    "        \"\"\"\n",
    "        根据动作概率分布随机采样\n",
    "        :param state:\n",
    "        :return:\n",
    "        \"\"\"\n",
    "        state = torch.tensor([state], dtype=torch.float).to(self.device)\n",
    "        probs = self.policy_net(state)\n",
    "        action_dist = torch.distributions.Categorical(probs)\n",
    "        action = action_dist.sample()\n",
    "        return action.item()\n",
    "\n",
    "    def update(self, transition_dict):\n",
    "        reward_list = transition_dict['rewards']\n",
    "        state_list = transition_dict['states']\n",
    "        action_list = transition_dict['actions']\n",
    "\n",
    "        G = 0\n",
    "        self.optimizer.zero_grad()\n",
    "        for i in reversed(range(len(reward_list))):\n",
    "            # 从最后一步算起\n",
    "            reward = reward_list[i]\n",
    "            state = torch.tensor([state_list[i]], dtype=torch.float).to(self.device)\n",
    "            action = torch.tensor([action_list[i]]).view(-1, 1).to(self.device)\n",
    "            log_prob = torch.log(self.policy_net(state).gather(1, action))\n",
    "            G = self.gamma * G + reward\n",
    "            loss = -log_prob * G  #每一步的损失函数\n",
    "            loss.backward()  # 反向传播计算梯度\n",
    "        self.optimizer.step()  #梯度下降"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T10:48:44.186971Z",
     "end_time": "2023-07-05T10:48:44.201930Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\PCL\\PyCharm 2023.1\\jbr\\bin\\D\\code\\env\\lib\\site-packages\\gym\\envs\\registration.py:593: UserWarning: \u001B[33mWARN: The environment CartPole-v0 is out of date. You should consider upgrading to version `v1`.\u001B[0m\n",
      "  logger.warn(\n",
      "E:\\PCL\\PyCharm 2023.1\\jbr\\bin\\D\\code\\env\\lib\\site-packages\\gym\\core.py:317: DeprecationWarning: \u001B[33mWARN: Initializing wrapper in old step API which returns one bool instead of two. It is recommended to set `new_step_api=True` to use new step API. This will be the default behaviour in future.\u001B[0m\n",
      "  deprecation(\n",
      "E:\\PCL\\PyCharm 2023.1\\jbr\\bin\\D\\code\\env\\lib\\site-packages\\gym\\wrappers\\step_api_compatibility.py:39: DeprecationWarning: \u001B[33mWARN: Initializing environment in old step API which returns one bool instead of two. It is recommended to set `new_step_api=True` to use new step API. This will be the default behaviour in future.\u001B[0m\n",
      "  deprecation(\n",
      "E:\\PCL\\PyCharm 2023.1\\jbr\\bin\\D\\code\\env\\lib\\site-packages\\gym\\core.py:256: DeprecationWarning: \u001B[33mWARN: Function `env.seed(seed)` is marked as deprecated and will be removed in the future. Please use `env.reset(seed=seed)` instead.\u001B[0m\n",
      "  deprecation(\n"
     ]
    }
   ],
   "source": [
    "learning_rate = 1e-3\n",
    "num_episodes = 1000\n",
    "hidden_dim = 128\n",
    "gamma = 0.98\n",
    "device = torch.device(\"cuda\") if torch.cuda.is_available() else torch.device('cpu')\n",
    "env_name = 'CartPole-v0'\n",
    "env = gym.make(env_name)\n",
    "env.seed(0)\n",
    "torch.manual_seed(0)\n",
    "state_dim = env.observation_space.shape[0]\n",
    "action_dim = env.action_space.n\n",
    "agent = REINFORCE(state_dim, hidden_dim, action_dim, learning_rate, gamma, device)\n",
    "return_list = []"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T11:08:34.013894Z",
     "end_time": "2023-07-05T11:08:34.061090Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Iteration 0:   0%|          | 0/100 [00:00<?, ?it/s]E:\\PCL\\PyCharm 2023.1\\jbr\\bin\\D\\code\\env\\lib\\site-packages\\gym\\utils\\passive_env_checker.py:241: DeprecationWarning: `np.bool8` is a deprecated alias for `np.bool_`.  (Deprecated NumPy 1.24)\n",
      "  if not isinstance(terminated, (bool, np.bool8)):\n",
      "Iteration 0: 100%|██████████| 100/100 [00:06<00:00, 15.68it/s, episode=100.0, return=28.2]\n",
      "Iteration 1: 100%|██████████| 100/100 [00:15<00:00,  6.52it/s, episode=200.0, return=78.3]\n",
      "Iteration 2: 100%|██████████| 100/100 [00:21<00:00,  4.67it/s, episode=300.0, return=146.0]\n",
      "Iteration 3: 100%|██████████| 100/100 [00:31<00:00,  3.13it/s, episode=400.0, return=160.1]\n",
      "Iteration 4: 100%|██████████| 100/100 [00:37<00:00,  2.66it/s, episode=500.0, return=199.4]\n",
      "Iteration 5: 100%|██████████| 100/100 [00:54<00:00,  1.85it/s, episode=600.0, return=200.0]\n",
      "Iteration 6: 100%|██████████| 100/100 [00:41<00:00,  2.41it/s, episode=700.0, return=183.7]\n",
      "Iteration 7: 100%|██████████| 100/100 [00:52<00:00,  1.91it/s, episode=800.0, return=187.0]\n",
      "Iteration 8: 100%|██████████| 100/100 [00:48<00:00,  2.06it/s, episode=900.0, return=193.2]\n",
      "Iteration 9: 100%|██████████| 100/100 [00:51<00:00,  1.95it/s, episode=1000.0, return=180.7]\n"
     ]
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    with tqdm(total=int(num_episodes / 10), desc='Iteration %d' % i) as pbar:\n",
    "        for i_episode in range(int(num_episodes / 10)):\n",
    "            episode_return = 0\n",
    "            transition_dict = {\n",
    "                'states': [],\n",
    "                'actions': [],\n",
    "                'next_states': [],\n",
    "                'rewards': [],\n",
    "                'dones': []\n",
    "            }\n",
    "            state = env.reset()\n",
    "            done = False\n",
    "            while not done:\n",
    "                action = agent.take_action(state)\n",
    "                next_state, reward, done, _ = env.step(action)\n",
    "                transition_dict['states'].append(state)\n",
    "                transition_dict['actions'].append(action)\n",
    "                transition_dict['next_states'].append(next_state)\n",
    "                transition_dict['rewards'].append(reward)\n",
    "                transition_dict['dones'].append(done)\n",
    "                state = next_state\n",
    "                episode_return += reward\n",
    "            return_list.append(episode_return)\n",
    "            agent.update(transition_dict)\n",
    "            if (i_episode + 1) % 10 == 0:\n",
    "                pbar.set_postfix({\n",
    "                    'episode': f'{num_episodes / 10 * i + i_episode + 1}',\n",
    "                    'return': f'{np.mean(return_list[-10:])}'\n",
    "                })\n",
    "            pbar.update(1)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T11:08:36.250932Z",
     "end_time": "2023-07-05T11:14:36.823694Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "episode_list = list(range(len(return_list)))\n",
    "plt.plot(episode_list,return_list)\n",
    "plt.xlabel('episode')\n",
    "plt.ylabel('return')\n",
    "plt.title(f'REINFORCE ON {env_name}')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T11:16:14.550495Z",
     "end_time": "2023-07-05T11:16:14.823112Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mv_return = rl_utils.moving_average(return_list,9)\n",
    "plt.plot(episode_list,mv_return)\n",
    "plt.xlabel('episode')\n",
    "plt.ylabel('return')\n",
    "plt.title(f'REINFORCE on {env_name}')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-07-05T11:17:40.501997Z",
     "end_time": "2023-07-05T11:17:40.755316Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
